LCM for 7 and 17
What's the Least Common Multiple (LCM) of 7 and 17?
(One hundred nineteen)
Finding LCM for 7 and 17 using GCF's of these numbers
The first method to find LCM for numbers 7 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 17 is 1, so
LCM = (7 × 17) ÷ 1
LCM = 119 ÷ 1
LCM = 119
Finding LCM for 7 and 17 by Listing Multiples
The second method to find LCM for numbers 7 and 17 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153
So the LCM for 7 and 17 is 119
Finding LCM for 7 and 17 by Prime Factorization
Another method to find LCM for numbers 7 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 17: 17 (exponent form: 171)
71 × 171 = 119
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers